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Finding the Fourth Proportional to 538,589.45, 743,219.65 and 296,858.72

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Solution

The fourth proportional to 538,589.45, 743,219.65 and 296,858.72 is: 409,646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,589.45 : 743,219.65 = 296,858.72 : x
  2. Step 2: Convert to fraction form
    538,589.45/743,219.65 = 296,858.72/x
  3. Step 3: Cross multiply
    538,589.45x = 743,219.65 × 296,858.72
  4. Step 4: Simplify right side
    538,589.45x = 220,631,236,206.97
  5. Step 5: Solve for x
    x = 220,631,236,206.97/538,589.45
  6. Step 6: Final answer
    x = 409,646.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.